Base | Representation |
---|---|
bin | 1000100110011… |
… | …10000000000000 |
3 | 12000202110000001 |
4 | 10103032000000 |
5 | 121432200234 |
6 | 11054205344 |
7 | 1534144642 |
oct | 423160000 |
9 | 160673001 |
10 | 72146944 |
11 | 377a8081 |
12 | 201b3854 |
13 | 11c40acc |
14 | 9820892 |
15 | 6501d14 |
hex | 44ce000 |
72146944 has 28 divisors (see below), whose sum is σ = 144301464. Its totient is φ = 36069376.
The previous prime is 72146941. The next prime is 72146953. The reversal of 72146944 is 44964127.
It is a happy number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (72146941) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3789 + ... + 12595.
Almost surely, 272146944 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 72146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72150732).
72146944 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72146944 is an frugal number, since it uses more digits than its factorization.
72146944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8833 (or 8809 counting only the distinct ones).
The product of its digits is 48384, while the sum is 37.
The square root of 72146944 is about 8493.9357190881. The cubic root of 72146944 is about 416.2995869587.
The spelling of 72146944 in words is "seventy-two million, one hundred forty-six thousand, nine hundred forty-four".
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